Easy Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Define surface area of a solid. Total of all

Correct! Surface area is the total area of all the surfaces of a solid object.

(2) Write the formula for the volume of a cube. a34a3

Perfect! Volume of cube = side3 = a3.

(3) Find the volume of a cube with side 5 cm.

Excellent! Volume = 53 = 5 × 5 × 5 = 125 cm3.

(4) Find the total surface area of a cuboid with length 4 cm, breadth 3 cm, and height 5 cm.

Great! TSA = 2(lb + bh + hl) = 2(12 + 15 + 20) = 2(47) = 94 cm2.

(5) Define lateral surface area. Area of or surfaces only.

Correct! Lateral surface area is the area of the curved or side surfaces, excluding the top and bottom.

Short Answer Questions (2 Marks Each)

Answer each question with proper calculations

(1) A cuboid has dimensions 6 cm × 4 cm × 3 cm. Find its volume.

Excellent! Volume = l × b × h = 6 × 4 × 3 = 72 cm3.

(2) Find the total surface area of a cube whose side is 7 cm.

Perfect! TSA = 6a2 = 6 × 72 = 6 × 49 = 294 cm2.

(3) The radius of a sphere is 3 cm. Find its volume.

Correct! Volume = 43πr3 = 43π × 33 = 43π × 27 = 36π ≈ 113.04 cm3.

(4) A cylinder has radius 4 cm and height 10 cm. Find its lateral surface area.

Great! LSA = 2πrh = 2π × 4 × 10 = 80π ≈ 251.2 cm2.

(5) A cuboid has a base of 5 cm × 3 cm and height 10 cm. Find its total surface area.

Perfect! TSA = 2(lb + bh + hl) = 2(15 + 30 + 50) = 2(95) = 190 cm2.

Long Answer Questions (4 Marks Each)

(1) A cube has a side of 8 cm. Find its volume, total surface area, and lateral surface area.

Volume: cm3 TSA: cm2 LSA: cm2

Correct! Volume = 83 = 512 cm3, TSA = 6 × 82 = 384 cm2, LSA = 4 × 82 = 256 cm2.

(2) A cylinder has a radius of 7 cm and height 15 cm. Find its volume, lateral surface area, and total surface area.

Volume: cm3 LSA: cm2 TSA: cm2

Perfect! Volume = πr2h = π × 49 × 15 ≈ 2310 cm3, LSA = 2πrh = 2π × 7 × 15 ≈ 660 cm2, TSA = 2πr(r + h) ≈ 968 cm2.

(3) The radius of a sphere is 6 cm. Find its surface area and volume.

Surface Area: cm2 Volume: cm3

Excellent! Surface Area = 4πr2 = 4π × 36 ≈ 452.16 cm2, Volume = 43πr3 = 43π × 216 ≈ 904.32 cm3.

(4) A cuboid has dimensions 10 cm × 6 cm × 4 cm. Find its total surface area and volume.

TSA: cm2 Volume: cm3

Great! TSA = 2(60 + 24 + 40) = 248 cm2, Volume = 10 × 6 × 4 = 240 cm3.

(5) A cone has radius 5 cm and height 12 cm. Find its slant height, lateral surface area, and total surface area.

Slant height: cm LSA: cm2 TSA: cm2

Correct! Slant height = 52+122 = 13 cm, LSA = πrl ≈ 204.1 cm2, TSA = π × 5 × (5 + 13) ≈ 282.6 cm2.

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d) ns (1) The volume of a cube with side 4 cm is:

(a) 16 cm3 (b) 64 cm3 (c) 12 cm3 (d) 32 cm3

Correct! Volume = 43 = 4 × 4 × 4 = 64 cm3.

(2) The lateral surface area of a cuboid with length 6 cm, breadth 4 cm, and height 5 cm is:

(a) 100 cm2 (b) 110 cm2 (c) 120 cm2 (d) 130 cm2

Correct! LSA = 2h(l + b) = 2 × 5 × (6 + 4) = 10 × 10 = 100 cm2.

(3) The volume of a cylinder with radius 3 cm and height 7 cm is:

(a) 198 cm3 (b) 197 cm3 (c) 200 cm3 (d) 210 cm3

Correct! Volume = πr2h = π × 9 × 7 = 63π ≈ 198 cm3.

(4) The total surface area of a cube of side 5 cm is:

(a) 125 cm2 (b) 100 cm2 (c) 150 cm2 (d) 120 cm2

Correct! TSA = 6a2 = 6 × 52 = 6 × 25 = 150 cm2.

(5) The lateral surface area of a cylinder with radius r and height h is:

(a) 2πr2 (b) 2πrh (c) πr2h (d) 4πrh

Correct! Lateral surface area of cylinder = 2πrh.

(6) The surface area of a sphere of radius 6 cm is:

(a) 452 cm2 (b) 452.16 cm2 (c) 452.38 cm2 (d) 450 cm2

Correct! Surface area = 4πr2 = 4π × 36 = 144π ≈ 452.16 cm2.

(7) The volume of a cone with radius 3 cm and height 4 cm is:

(a) 37.68 cm3 (b) 36 cm3 (c) 40 cm3 (d) 38 cm3

Correct! Volume = 13πr2h = 13π × 9 × 4 = 12π ≈ 37.68 cm3.

(8) The slant height of a cone with radius 6 cm and height 8 cm is:

(a) 9 cm (b) 10 cm (c) 12 cm (d) 14 cm

Correct! Slant height = r2+h2 = 36+64 = 100 = 10 cm.

(9) A cuboid has volume 120 cm3 and base area 12 cm2. Its height is:

(a) 10 cm (b) 12 cm (c) 8 cm (d) 6 cm

Correct! Height = Volume ÷ Base area = 120 ÷ 12 = 10 cm.

(10) The total surface area of a cylinder with radius 5 cm and height 10 cm is:

(a) 450 cm2 (b) 470 cm2 (c) 471 cm2 (d) 480 cm2

Correct! TSA = 2πr(r + h) = 2π × 5 × (5 + 10) = 150π ≈ 471 cm2.

Surface Area and Volume Challenge

Determine whether these statements are True or False:

Surface Area and Volume Quiz